Which of the following number are rational
(A) 19 (b) 16 (c) 17 (d) 18
clearly all of them,
check for the definition of a rational number in your text or
your class notes.
maybe you meant √19 √16 √17 √18
if so, only √16 is rational (√16=4)
Bad
To determine whether a number is rational or not, we need to understand the concept of rational numbers. A rational number is a number that can be expressed as a fraction, where both the numerator and the denominator are integers.
Let's examine each option:
(A) 19: 19 is an integer, but it cannot be expressed as a fraction. Therefore, 19 is not a rational number.
(B) 16: 16 is also an integer, and it can be expressed as a fraction because any integer can be written as that integer divided by 1. Therefore, 16 is a rational number.
(C) 17: Similar to 19, 17 is an integer and cannot be expressed as a fraction. Hence, 17 is not a rational number.
(D) 18: Just like 16, the number 18 is an integer and can be expressed as a fraction (18/1). Therefore, 18 is a rational number.
In conclusion, the rational numbers among the given options are (B) 16 and (D) 18.